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arXiv:math/0408379 [math.GT]AbstractReferencesReviewsResources

Open manifolds, Ozsvath-Szabo invariants and Exotic R^4's

Siddhartha Gadgil

Published 2004-08-27, updated 2009-07-17Version 2

We construct an invariant of open four-manifolds using the Heegaard Floer theory of Ozsvath and Szabo. We show that there is a manifold X homeomorphic to R^4 for which the invariant is non-trivial, showing that X is an exotic R^4.

Comments: 9 pages, major revisions; to appear in Expositiones Mathematicae
Categories: math.GT
Subjects: 57R58, 53D35, 57M27, 57N10
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